{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Einops for simple audio processing\n",
    "\n",
    "The examples below show how to use einops to process audio data. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "from einops import rearrange, repeat, reduce\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Let us create a sine wave"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#  create a sine wave with frequency of 200 Hz\n",
    "#  sample rate of 8000 Hz\n",
    "#  duration of 1 second\n",
    "sample_rate = 8000\n",
    "duration = 1\n",
    "frequency = 200\n",
    "t = np.linspace(0, duration, sample_rate * duration)\n",
    "wave = np.sin(2 * np.pi * frequency * t)\n",
    "\n",
    "# play the wave\n",
    "from IPython.display import Audio\n",
    "Audio(wave, rate=sample_rate)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Double the frequency using `einops` and hear the difference"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ER3J9VoLVoUzZhgVpV3+klL3tON1CZHgYa/JTrA5lyjYsSKOiqVOnPwhwmkx8aGjYsOtMC7fMT7N1B7LxrC9KY2DIsKey1epQ1CR2VDSzOi+ZmEj7DDfvqdIFaQDsOK13J4FMk4kPvXP+Ih09A5QusMcMj1NVnDOLGdHh+iW3ubOt3Zxt7WaD60c50OSnxpGdFKPnWYDTZOJDb51uxhEm3FQYmMkkwhHGzYWp7Kho1qabNub+ES4tCsxkIiJsKErj7epWegeGrA5HXSNNJj60o6KF4nmzSIiJsDqUa7a+KJXmzj5tumljOyqayU+NY26y/ebI8dT6BWn0Dgyzv6bN6lDUNbI0mYjIRhGpEJEqEXl0jPfXi0iHiBx1Pb7h6bZWa+jo4VTD5avlwYFqvetqd2eFFkHYUXffIAdq2gO2iMttdV4y0RFh7KxosToUdY0sSyYi4gCeADYBC4EHRWThGKvuNsYscz3+forbWsb9pQj0L3nqjCiun5PAW1qebUtvV7XSPzQcsEVcbtERDtbkp/DWaS1SDVRW3pmsBKpcU/D2A78C7vLDtn7x1ulmshJjKAyAgR0nU1qUxju1l2jv7rc6FDXKjooW4qPCKQ6AgR0nU7ogjfPtV6hp7bY6FHUNrEwmWUDtiNd1rmWjrRaRd0Vkm4gsmuK2iMjDIlImImUtLf65he4bHOLtqlZKF6QGVK/38ZQuSMMY+P0ZLYKwE2MMOyuaWVeQQmR44Fd/lhY5G6poq67AZOUZONav7Oj72yPAPGPMUuD7wEtT2Na50JhnjDHFxpji1FT/tKo6eLadK/1DAV/04HZ9VgLJcZFa1GUzpxs7aejoDfiiVLc5s2KZnx6v51mAsjKZ1AHZI17PAS6MXMEYc9kY0+V6vhWIEJEUT7a10lunm4kK0N7IYwkLE24pSr06NIyyB/eP7vqiwGx6PpbSojQOnWuns3fA6lDUFFmZTA4BhSKSKyKRwAPAKyNXEJEMcZUTichKnPG2ebKtlXZWtLA6PzB7I49nw4I0OnoGeEfn7LaNnRXNLM6aSdrMaKtD8ZrSBc5RF96u0lEXAo1lycQYMwh8GXgdOAVsMcacEJFHROQR12ofB8pF5F3ge8ADxmnMbf1/FB90vu0KZ1u7WT8/eK4WAW4qTCVMnANXKutd7h3gyPlLrJ8fHEVcbjfOm8WMqHA9zwJQuJU7dxVdbR217OkRz38A/MDTbe1gd5XzS7AuQHu9jychJoKl2Ynsrmzlr24vsjqckLevuo2hYcO6wuAoSnWLcIRRkp/M7spWjDFB0YAlVAR+ExCb2VPZSmZCNPmpcVaH4nU3FaRwrO4SHT1anm21PZWtxEY6WD53ltWheN1NhSnUXezhvbYrVoeipkCTiRcNDRv2VrexriAlKK+o1hWmMmycV8XKWm9XtbIqNykomgSPtq7Aebe1R+tNAkrwnYkWOl7fQUfPQNAVPbjdMDeRuEgHe6q0PNtK9Zd6qGntDrqiVLfclDhmJ0Tr1AcBRpOJF7lboKwtCM5kEuEIY1Vesn7JLban0pnMbwrSixYRYV1hCnurW7UpegDRZOJFuytbWJg5k5T4KKtD8Zl1BSmca7tCbbuWZ1tld2UraTOigmKonvGsK0zlcu8gx+ouWR2K8pAmEy+50j/I4fcuBu3Vopv7+LQfgDWGg7xezm1tfjKA3gUHEE0mXnLgbDsDQyZoi7jcCtLiSZ8ZxW5NJpY42XCZ9u7+oK2Xc0uOj2Jh5kythA8gmky8ZE9lK5HhYazMDfzRWyciIqwrSGVvVSvDWp7td7tdV+rrgvyiBZx3wUfOX6S7b9DqUJQHNJl4ydtVrazImUV0RPAMoTKemwpTuHhlQGdftMDbVa0Upc8IqiFUxrOuMIWBIcPBs+1Wh6I8oMnEC5o7eznd2Mm6guBsqjnamgJnefZubSLsV70DQxw81x70RVxuK3Kc/Wh2a71JQNBk4gXuyuhgr3x3S5sRzYKMGVoJ72eHzrXTPzgcMskkOsLBipxZ2q8pQGgy8YLdla0kxUWyMHOm1aH4zbqCFA6du0jvwJDVoYSMPZWtRDrCWBXk9XIjrStI5UxTF82Xe60ORU1Ck8k0GWPYW9XG6vxkwsKCt6nmaOsKU+gfHNbybD/aU9XKDXMTiY20dHxWv3Lf7WurLvvTZDJNZ1u7abzcy9ogmQjLUytykggPE/bV6Dhd/nDpSj8nGy4HfdPz0RZmziQhJkLHgwsAmkymaa/rJF/t6mQVKuKiwlmWnahfcj/ZX9OOMaF3noWFCSV5SVe/Z8q+LE0mIrJRRCpEpEpEHh3j/U+KyDHXY6+ILB3x3jkROS4iR0WkzL+R/8G+mjYyE6LJSY61KgTLrM5P5nh9h06x6gf7a9qIiXCwdE6i1aH43eq8ZOov9egQPjZnWTIREQfwBLAJWAg8KCILR612FrjFGHM98A/AM6PeLzXGLDPGFPs84DEYY9hf3cbqvOSgHtpiPKvzkhkaNhw6p/Umvra3upXinFlBOeT8ZNa4ivb0LtjerDwzVwJVxpgaY0w/8CvgrpErGGP2GmPck47vB+b4OcYJnWnqoq27n5IQK3pwWz7P+eO2t0q/5L7U2tXHmaaukCvicitMiyclPpK91VoJb2dWJpMsoHbE6zrXsvF8Btg24rUBtovIYRF5eLyNRORhESkTkbKWFu+2V9/nOrnXhOiXPDrCwfK5iVoJ72P7Xf++a0KskYebiFCSl8y+mjaM0SF87MrKZDJWudCYZ4qIlOJMJn8zYvFaY8xynMVkXxKRm8fa1hjzjDGm2BhTnJrq3R7qe6vbyE6KYc6s0KsvcVudl8LJhstcutJvdShBa291G/FR4SyeHTr9mEZbnZ9M0+U+zrZ2Wx2KGoeVyaQOyB7xeg5wYfRKInI98GPgLmPM1UtgY8wF199m4EWcxWZ+MzRsOHC2ndV5oXlX4ramIBljnK2NlG/sr25jVW4S4Y7Qqy9xc3/PtFWXfU16dopIrIj8LxH5ket1oYh8xAv7PgQUikiuiEQCDwCvjNr3XOAF4FPGmDMjlseJyAz3c+B2oNwLMXnsVMNlOnoGQrbowW3pnERiIhxXi2KUdzV29FLT2h2y9SVuuSlxZMyM1iJVG/OkK+3PgMPAatfrOuA54DfT2bExZlBEvgy8DjiAnxpjTojII673nwa+ASQDT7paSw26Wm6lAy+6loUD/2mMeW068UzVvhDtXzJaZHgYxTmztHLUR/bVOP9dQ/08ExFW5yezu7IFY0xItp60O0+SSb4x5hMi8iCAMaZHvPQ/aYzZCmwdtezpEc8/C3x2jO1qgKWjl/vT3upW8lLiSA+BocAnszo/mcdfq6C1qy+opyy2wt6qNhJjI7guI3TrS9xW5yfz4jv1VDZ3MT99htXhqFE8KYTtF5EYXJXjIpIP9Pk0KpsbHBrm0LmLIX+16OYuz9aiLu/bV+OsLwmlcd/Gc7XeRMfpsiVPksk3gdeAbBF5FngT+KpPo7K54/UddPUNajJxWZKVQHxUuFaOellt+xXqLvaEfL2cW3ZSLHNmxWi9iU1NWsxljHlDRI4AJTib8/65MSakLw3cP5olId6Syy3c4ZyueL8mE6/SerkPWpOfzOsnmhgeNnq3ZjPj3pmIyHL3A5gHNOBsujvXtSxk7a9pY356vNYPjLA6L5ma1m4aO3TeCW/ZV9NGSnwkhWnxVodiG6vzk+noGeBkg04ZbTcT3Zn8q+tvNFAMvIvzzuR64ACwzreh2dPA0DBl5y5yf7GtRnaxnPvq+cDZNu5aNtFABsoTxhj217SxKkTHfRuPuzTgwNl2FmclWByNGmncOxNjTKkxphR4D1ju6kV+I3ADUOWvAO3mWF0HPQNDWsQ1ynWZM5kRHa6V8F5S295DQ0evnmejZCbEMC85Vs8zG/KkAn6BMea4+4UxphxY5rOIbM59Eq8MoalTPeEIE1bmJGlPeC9xn2er8/Q8G60kN5mDZ9sZHtZxuuzEk2RySkR+LCLrReQWV0/4U74OzK7c9SXJWl/yASV5yZxt7aZJ5+uetv2u+pL8VK0vGa0kP4mOngFONWq9iZ14kkw+DZwA/hz4C+Cka1nIcdeXaNHD2Eq0v4lXXK0vydX6krGsynWfZ3oXbCeTJhNjTK8x5rvGmHtcj+8aY0Ly0lPrSya2cPZMZkSF65d8mmrbe7jQ0UuJFnGNaXais97kgF602Mqk/UxE5CxjDA1vjMnzSUQ2duCs1pdMxBEmrMxN0i/5NLnv7PSiZXyrcpO0v4nNeFLMVQyscD1uAr4H/Icvg7Kr/TXt2r9kEqvykqhp7aZZ602u2f6zbSTHRVKg/UvGVZLn7G9yurHT6lCUiyfFXG0jHvXGmH8DNvg+NHtx1pe069XiJK7Wm5zVoq5rYYzhQE07q/KStL5kAqu0fs52PJnPZPmIR7FriPiQG7LzeH0HV/qHrlb+qbEtzHTXm+iX/FrUXeyh/lKPXrRMIisxhrlJ2t/ETjwZgv5fRzwfBM4C9/smHPtyn7SrtFJ0QuGOMFbkJumX/Brt0/oSj63KTeKNU1pvYhee1Jl8xt0b3hhzmzHmYSDkJvw+UNNOYZrWl3iiJC+JmpZumju13mSq9te0kRSn43F5oiQvmUtXBqho0noTO/Akmfzaw2VTJiIbRaRCRKpE5NEx3hcR+Z7r/WMjB5icbFtv0vqSqbk6fpI2EZ6yAzXtrMrV+hJPuEsJ9C7YHiYaNXiBiNwLJIjIx0Y8/gTn4I/TIiIO4AlgE7AQeFBEFo5abRNQ6Ho8DDw1hW29pry+g+5+7V/iqYWZM4nXepMpq22/ovUlUzBnVizZSTF6ntnERHUmRcBHgETgzhHLO4HPeWHfK4Eq1xS8iMivgLtw9rB3uwv4hTHGAPtFJFFEMoEcD7b1GncnPO1f4plwRxgrcmbpl3yKtH/J1K3KTeZ3Wm9iC+MmE2PMy8DLIrLaGLPPB/vOAmpHvK4DVnmwTpaH2wIgIg/jvKth7ty51xTowNAwxfNmkTpD60s8VZKXzI6KFlo6+/TfzUP7a9qZFRuh9SVTUJKXzK8P11HR1Ml1mTOtDiekTVTM5Z6a949c9Rbve3hh32NdRozuaT/eOp5s61xozDOu4fOLU1NTpxii03+/tZBff2HNNW0bqv4w74TenXjKPR6XXmF7bpWrtEBHXbDeRBXw7pGBy4DDYzymqw7IHvF6Ds6ZHD1Zx5NtlYUWzdZ6k6n4Q32JFqVOhXteeB0PznoTFXO96vr7cx/t+xBQKCK5QD3wAPBHo9Z5Bfiyq05kFdBhjGkQkRYPtlUWCneEUZwzS7/kHjrgGjGgROd7n7KSvGTe1HoTy42bTETkVcYpOgIwxnx0Ojs2xgyKyJeB1wEH8FNjzAlXD3uMMU8DW4HNOGd2vIJr6Pvxtp1OPMr7SvKSeWzbaa038cD+mjZmxUYwPy3kBpeYtlW5Sfz6cB1nmjtZkKH1JlaZqDXXv/h658aYrTgTxshlT494boAvebqtshd3vcnBs+3ccX2mxdHY2/6aNlbmJumV9TUY2a9Jk4l1JpoDfpf7AewDLgLtwD7XMqUmtHj2TOIiHVpvMom6i1eou6j9S65VdlIsWYna38Rqngz0eAdQjXPo+R8AVSKyydeBqcDnrDfRcbom4x4pQJPJtSvJS+aAzgtvKU+GU/lXoNQYs94YcwtQCnzXt2GpYFGSl0xlcxetXX1Wh2Jb+2vaSIyNoChd60uuVUleEu3d/VQ2d1kdSsjyJJk0G2OqRryuAZp9FI8KMu6mrgd1fpNx7T/bxsocrS+ZDu3XZD1PkskJEdkqIn8iIg8BrwKH3GN1+Tg+FeAWZyVovckE6i/1UNuu9SXTpfUm1vNkPpNooAm4xfW6BUjCOV6XAV7wTWgqGEQ4wrhR603GdUDH4/KaVXlJ7KxowRijoy5bYNJkYoz5tD8CUcGrJC+Jx1+roLWrT+eDGWV/TRsJMREsyND6kukqyUvmhSP1VDZ3MV/rn/xu0mTi6mX+ZzhH6r26/nQ7LarQMbK/yeYl2t9kpP017dq/xEtWj5gXXpOJ/3lSZ/IScA74Ps6WXe6HUh5ZkpVAbKRDB+Mb5cKlHs63X9EiLi+ZMyuGrMQYnZRtlCv9g/zngfM+n/nUkzqTXmOMN0YJViEqwtXfZJ8mk/dx1yOt0nlyvEJEWJWXxC6tN3mfsnMX+Z8vHidr1krSZkx7XsNxeXJn8n9F5JsislpElrsfPotIBaWSvCTONGl/k5H2VTvrSxbqPBxeU5KXTFt3P2eatL+J276aNsLDhOJ5s3y6H0/uTJYAnwI2AMOuZcb1WimPrMlPASrYX9PGR66fbXU4trC3uo2SPK0v8SZ3vcm+6laKtFED4DzPlmUnEhflyc/9tfPkzuQeIM8Yc4sxptT10ESipmSxa36TvdVa1AV/mL/EmWSVt2QnOeeF1/PMqbN3gPL6Dlb7YWoDT5LJuzjngVfqmoU7wliVm8R+/ZIDziIuwC9f8lCzWsfpuurQuXaGhs3VOzZf8iSZpAOnReR1EXnF9XjZ14Gp4LM6P5ma1m4aO3zbqiQQ7K1uJSU+Uud794E1+Sl09AxwsuGy1aFYbm9VG5HhYSz3cX0JeFZn8s0RzwVYBzzom3BUMHM3gd1X08o9N8yxOBrrGGPYV9NGSV6ytjjyAffd3r7qNhZnJVgcjbX21bSxfG4i0REOn+9r0jsT19wlHcAdwL8DtwJPT7TNZEQkSUTeEJFK198PpE0RyRaRHSJySkROiMifj3jvWyJSLyJHXY/N04lH+cfCzJkkxERcLeIJVTWt3TRd7tMiLh9JnxlNXkpcyDdFv3Sln5MNl1md5596uXGTiYjMF5FviMgpnPOY1ALiqoD//jT3+yjwpjGmEHjT9Xq0QeCvjDHXASXAl0Rk4Yj3v2uMWeZ66IyLASAsTCjJSwr5ylF3MtXKd99ZnZ/MwbPtDA4NT75ykNpf044xsKbAPxctE92ZnMZ5F3KnMWadK4EMeWm/dwE/dz3/OXD36BWMMQ3GmCOu553AKSDLS/tXFlmTn0LdxR5q269YHYpl9tW0kTEzmpzkWKtDCVqr85Pp6hvkeH2H1aFYZn9NGzERDpbOSfTL/iZKJvcCjcAOEfmRiNyKs87EG9KNMQ3gTBpA2kQri0gOcANwYMTiL4vIMRH56VjFZCO2fVhEykSkrKWlxQuhq+kYWZ4diowx7K9uY3W+1pf4krt+LpTvgvdWt1KcM4vIcE/aWU3fRHPAv2iM+QSwANgJfAVIF5GnROT2yT5YRH4nIuVjPO6aSoAiEg88D/yFMcbdPOMpIB9YBjQwwVhhxphnjDHFxpji1NTUqexa+UBhWjwp8ZEhW559pqmLtu5+rS/xsZT4KIrSZ4Ts1AetXX2caery63nmyRD03cCzwLMikgTch7OOY/sk231ovPdEpElEMo0xDSKSyTgzN4pIBM5E8qwx5uq8KcaYphHr/Aj4zWTHoexBRCjJS2ZfdVtIjp+0t7oVwC/t/kPd6vxkfnXoPP2Dw367OrcLdxL153k2pX9hY0y7MeaHXugB/wrwkOv5Q8AH+q2I81fmJ8ApY8z/GfXeyHHM7wHKpxmP8qPV+ck0Xu7lbGu31aH43b7qNrKTYshO0voSX1udn0zvwDBHay9ZHYrf7a1uIz4qnCV+bBptVbp+DLhNRCqB21yvEZHZIuJumbUW15hgYzQBflxEjovIMaAUZxGcChDuVkyhVtQ1NGw4cLZd70r8pCQ3GZHQrJ/bX93Gytwkwh3++4n37chf4zDGtOFsKTZ6+QVgs+v5Hsap8DfGfMqnASqfykmOJTMhmr1VbXxy1Tyrw/GbUw2X6egZ0PoSP0mIdY7I/HZ1K3/+oUKrw/Gbho4ealq7eXDlXL/uN7QKEpUtiAhr8lPYW90aUuMn7a501pes1f4lfrOuIIV3zl+ku2/Q6lD8Zo/7PCvw73mmyURZ4qbCFC5eGeDEhdAZP2lPVQtF6TNIm+m7CYrU+60rTGFgyHDwXOjMvrinyjnu2wI/D8GvyURZwt0rd09Vq8WR+EfvwBCHzl1kXaHelfjTipwkIsPDrl6tB7vhYcPbVa2sLUjx+zw5mkyUJdJmRLMgYwZ7qkKjI+mhc+30Dw5rMvGz6AgHK3JmhUwyqWjqpLWrn3V+LuICTSbKQusKUjh07iK9A94apce+9lS2EuEQne/dAusKUqlo6qT5cvBPfeBOmjcV+r+DtiYTZZl1hSn0Dw5z8Gzwl2fvrmxl+dxZxEZa0oAypN3kuhsMhSLV3VWtFKTFk5Hg/3o5TSbKMqtyk4l0hAX9l7y1q4+TDZev/qgp/1qYOZOkuMigL+rqHRji4Nk2S4q4QJOJslBMpIMb58262mQ2WL3tSpbrLCh6UM6pD9bkJ7OnqhVjgrcp+pHzF+kdGNZkokLTusIUTjVcpqWzz+pQfObtqlZmRvt3aAv1fjcVptDc2Udlc5fVofjMnspWwsOEEos6xWoyUZZyX0W5B0AMNsYY9lS2siY/BYefm2qqP3DfFQbzXfCeqlZumJtIfJQ19XKaTJSlFmclkBATEbTl2TWt3Vzo6NUmwRbLSowhLyWOPZXB2RT9Ync/x+s7WFdgXVGqJhNlKUeYsLYgeMuz/9BUU5OJ1dYVpnDgrLO/T7DZV9OGMVh60aLJRFluXUEqDR29VLcE35D0e6payU6KYV5ynNWhhLx1BSlc6R/iyPmLVofidbsrW5kRFc7SOdbVy2kyUZZz15sEWxHEwNAw+6vbLC16UH9Qkp+MI0yCrkjVGMOeqhZK8pP9OuT8aJpMlOXmJseSkxzLzjPBlUwOv3eRzr5BbtYiLluYGR3BDdmJ7Aqy86y6pZva9h5unm/tRYslyUREkkTkDRGpdP2dNc5651yTYB0VkbKpbq8CR+mCNPZVt9HTHzxDq+yoaCbCIVr5biOlC9I4Xt8RVEOr7Kxwznq+YUGapXFYdWfyKPCmMaYQeNP1ejylxphlxpjia9xeBYDSojT6BofZVxM8RRA7TjezIieJGdERVoeiXEqLnD+4wXQX/NbpZorSZ5CVGGNpHFYlk7uAn7ue/xy428/bK5tZlZdEbKSDt043Wx2KV9RdvMKZpq6rP17KHq7LnEHGzGh2BMl51tk7wKFz7axfYH29nFXJJN0Y0wDg+jveN84A20XksIg8fA3bIyIPi0iZiJS1tATP1UiwiQp3sLYghR2nW4KiifCOCue5Vmpx0YN6PxGhdEEquytbGRgK/CbCb1e1MjBk2GCDixafJRMR+Z2IlI/xuGsKH7PWGLMc2AR8SURunmocxphnjDHFxpji1FTrs7caX2lRGvWXeoJiyIudp5uZmxRLfqo2Cbab0qI0uvoGORQEsy/uON3CjOhwls+zvtrYZ8nEGPMhY8ziMR4vA00ikgng+jvmPacx5oLrbzPwIrDS9ZZH26vAUuq6VQ/0IojegSHerm6ltCgVER1CxW7WFqQQ6QgL+PPMGMOOimZunp9KhIVNgt2siuAV4CHX84eAl0evICJxIjLD/Ry4HSj3dHsVeDITYliQMSPg603217TROzCsRVw2FRcVzqq8pKtFkYHqxIXLNHf22aZezqpk8hhwm4hUAre5XiMis0Vkq2uddGCPiLwLHAR+a4x5baLtVeDbsCCNsvcu0tEzYHUo12zH6WaiI8IoybNm9FY1udKiNKqau6htv2J1KNfMfWe1vsgexfeWJBNjTJsx5lZjTKHrb7tr+QVjzGbX8xpjzFLXY5Ex5tuTba8C34YFaQwNm4DtpewsemhhbX4K0REOq8NR43DfNQbyXfCOimaWzkkgJT7K6lAA7QGvbGZZdiIJMREB+yWvbunmfPsV1msRl63lpsSRmxLHjorAPM/au/t5p/aSrYpSNZkoWwl3hHHL/FR2nWlmeDjwmgi7ix6s7o2sJre+KDVgR134/ZkWjME29SWgyUTZ0IYFabR2OednCDQ7KuzRG1lNbsOCwB114a3TzaTER9pq9k5NJsp2bpmfiiNMeONkk9WhTMnF7n4OnG1nw3X2uVpU41uZm0RcpIPtJwLrPOsbHGJHRTOlRWmE2Wj2Tk0mynZmxUWyKjeJreUNAdUb/o1TTQwNGzYtzrA6FOWBqHAHG65LZ/vJJgYDqDf83qo2OnsH2bTEXueZJhNlS5uWZFLT0h1QveFfK28kKzHGVkUPamKbF2fQ3t3PwQDqDb+tvIEZUeGsLbDXaNSaTJQtfXhROiKw9XiD1aF45HLvALsrW9i0OEN7vQeQ9UVpxEQ42Ha80epQPDIwNMz2k018aGE6UeH2anquyUTZUtqMaFbMSwqYL/lbp5oZGDJsWpJpdShqCmIiHZQuSOW1E40MBUDrwQM17Vy6MsBGGxalajJRtrVpSQYVTZ1Ut9i/qGvr8QYyZkZzQ3ai1aGoKdq4OJOWzj4Ov2f/ueG3ljcQG+ngFotnVRyLJhNlW+6rr9fK7X130t03yK4zLWxcnGGr1jXKMxsWpBEZHsa2cnsXqQ4NG7afaKR0QZotR1fQZKJsKzMhhhvmJtr+S76jopm+wWFtxRWg4qPCuWV+Kq+VN9q6o+yhc+20dvWzebE9i1I1mShb27w4k/L6y5xvs++AfNuON5ISH0lxTpLVoahrtGlxBg0dvRytu2R1KOPadryBqPAw2wzsOJomE2Vr7qIuu96d9PQ7O5B9eFEGDi3iCli3XpdOhEPYZtPWg8PDhtdONLK+KJW4qHCrwxmTJhNla9lJsSzJSmCbTetNdp1p4Ur/EJu1FVdAS4iJYF1BCtvKG23ZUfad2os0Xe5jk02LuECTiQoAGxdncLT2EvWXeqwO5QO2Hm9gVmwEq3K1iCvQbVqSSd3FHluOCbf1eCORjjBbD9WjyUTZ3p3XzwbgpXfqLY7k/S73DrD9ZCOblmQSboNpU9X03L4wnUhHGC8csdd5NjA0zMtH6yldkMrM6AirwxmXJd8AEUkSkTdEpNL1d9YY6xSJyNERj8si8heu974lIvUj3tvs94NQfjM3OZaSvCS2lNXaqgjiN+820DswzP3F2VaHorwgMTaS2xal89LRevoG7TMs/Y7TzbR29dv+PLPqcupR4E1jTCHwpuv1+xhjKowxy4wxy4AbgSvAiyNW+a77fWPM1tHbq+Byf3E277Vd4eBZ+4yhtKWslvnp8Sydo2NxBYv7i7O5dGWA3520z6RZW8rqSJ0RZcuOiiNZlUzuAn7uev5z4O5J1r8VqDbGvOfLoJR9bVqcSXxUOFvK6qwOBYDKpk6O1l7i/uJsHYsriKwrSGF2QjRbymqtDgWA5s5edlQ087HlWbYvSrUqunRjTAOA6+9ktUoPAL8ctezLInJMRH46VjGZm4g8LCJlIlLW0tIyvaiVZWIiHdy5dDZbjzfQ2TtgdTg8d7iO8DDh7huyrA5FeZEjTPj4jXP4fWULF2zQ4OOld+oZGjbcd6O9i7jAh8lERH4nIuVjPO6a4udEAh8Fnhux+CkgH1gGNAD/Ot72xphnjDHFxpji1FR73yaqid1fPIeegSF+e8zavgADQ8O8cKSODQvSSImPsjQW5X0fvzEbY+CFI9beBRtj2FJWx43zZlGQFm9pLJ7wWTIxxnzIGLN4jMfLQJOIZAK4/k5UQLkJOGKMuTodmjGmyRgzZIwZBn4ErPTVcSj7WJadSGFavOVFEIFSIaquzdzkWFbnJbOlrM7S4VXeqb1EVXMX9xfPsSyGqbCqmOsV4CHX84eAlydY90FGFXG5E5HLPUC5V6NTtiQi3F+czZHzl6hq7rQsDneFqF2HtVDTd/+KOZxvv2LppFnPldURE+HgDlfTeLuzKpk8BtwmIpXAba7XiMhsEbnaMktEYl3vvzBq+8dF5LiIHANKga/4J2xltbtvyCI8THjOoor4QKoQVddu46JMZkSFW3YX3NM/xKvvXmDzEmfDk0BgybfBGNNmjLnVGFPo+tvuWn7BGLN5xHpXjDHJxpiOUdt/yhizxBhzvTHmo+7KfBX8UmdEsWFBGs8fqWfAgnm7XzwSOBWi6trFRDq4c5mzwcdlCxp8/PZ4A119gwFTxAXaA14FoAdXzaW1q4+Xj17w6377B4f52dvnWJmbFBAVomp6/mjlXHoHhvnlgfN+3a8xhh/vrqEwLZ6VATRMjyYTFXDWz0/lusyZPLmzyq9Trb74Th2Nl3v5UmmB3/aprLM4K4GbClP40e6z9A74r0f8W6ebOd3YyRfW5wdUHyZNJirgiAhfXJ9PTUs320/4ZzThoWHD07tqWDR7JjcXpvhln8p6X1xfQGtXH88d9k8dnTGGJ3ZUkZUYw51LA6Pi3U2TiQpIm5dkkpMcyxM7q/wyXte28gbOtnbzpdKCgLpaVNNTkpfE8rmJ/HBXtV/q6A6cbefI+Ut8/pY8IgKsgUdgRauUiyNM+ML6fMrrL7O7stWn+zLG8OSOavJS4vjwIp2aN5SICF8qLaDuYg+vvuv7Orond1aTEh8ZkH2YNJmogHXPDXPITIjmiR1VPt3PrjMtnGy4zCPr83U2xRC0YUEaCzJm8OTOap92Yjxe18Hvz7Twp+tyiY5w+Gw/vqLJRAWsyPAwPndTHgfOtlPmw85lT+6oZnZCNHcv03G4QpGI8MXSAqqau9h+smnyDa7RU7uqmBEVzn8rmeezffiSJhMV0B5YmU1SXCQ/8NHdycGz7Rw8187nbs4jMly/LqHqDlcd3ZM+qqOrau5kW3kjf7xmnq0nwJqIfjtUQIuNDOdzN+Wxs6KFN7x81dg/OMw3Xi4nfWYUD6yY69XPVoHFEeasOzlW1+H1XvHDw4avvVhOfFQ4n16b69XP9idNJirgfWZdLgsyZvD1l47T0eO93so/3FXN6cZO/vHuJcREBl4ZtvKue5fPYVVuEv/421M0Xe712uf+6lAtB86287XN1wX0KNSaTFTAiwwP4zv3Xk9LZx+PbTvllc+sbOrk+29V8ZHrM7ltYbpXPlMFtrAw4Tv3Xk//4DBff6ncK8VdDR09/O+tp1idl8wnVgReC66RNJmooLA0O5HP3pTHLw/Wsrdqek2Fh4YNf/P8MWKjHHzro4u8FKEKBjkpcfzV7fN542QTv5nmvDrGGL7+YjkDw8M8du+SgO+/pMlEBY2vfGg+OcmxPPrCca70D17z5/xi3zmOnL/EN+9cGNDFDso3/nRtLkvnJPCtV07Q3t1/zZ/z6rEG3jzdzF/fXsS85DgvRmgNTSYqaMREOnjs3us5336Ff9p66pqKISqbOnn8tQrWF6VqU2A1pnBHGI9/fCmXewf4+kvHr6nvSf2lHv7ulRMsnZMQ0JXuI2kyUUGlJC+Zz6zL5T/2n+fvXj05pS96eX0Hn3hmP3FR4Xz7nsAvdlC+U5Qxg7+8rYitxxv5yy1HpzTUytnWbu57ai/9Q8M8/vGlQdMRNjBmXVFqCr5+x3UA/GTPWS73DvD4vddPOpHVoXPt/OnPDjEzJoL/+OwqshJj/BGqCmCP3JLHsDH88+sVdPUN8oM/Wj5pz/VTDZf51E8OMmwMv/xcCUUZM/wUre9ZcmciIveJyAkRGRaR4gnW2ygiFSJSJSKPjlieJCJviEil6+8s/0SuAoGI8PU7ruMvb5vPC0fq+eKzR+gbHH8I8V1nWvjUTw6QOiOK5x5ZTW5K4JdfK99zj9v1D3cv5s3TzTz004N0TjCR1tHaSzzwzH7Cw4Qtn1/N4qwEP0bre+KPEVc/sFOR64Bh4IfAXxtjysZYxwGcwTltbx1wCHjQGHNSRB4H2o0xj7mSzCxjzN9Mtt/i4mJTVvaBXakg9rO3z/J3r54kY2Y0ty9K5/aFGazKS6K5s4/Xyxt5/UQjh861syBjJr/4zEqtcFfX5OWj9fzllneZFRvBh65L5/ZF6azJT+Fy7wBvnGzitfJG9lW3MTsxhmc/u4rspFirQ54SETlsjBn3wh8sSiZXdy6yk/GTyWrgW8aYD7te/y2AMeZ/i0gFsN4Y0yAimcBOY0zRZPvTZBKa3jrdxK8O1vL7yhZ6B4aJjXRwpd95pzI/PZ6NizL4zE15JMQE5jAWyh7217Tx//a/x66KFrr6BomOCKNvcBhjICc5lo2LM/nTdTmkzYi2OtQp8ySZ2LnOJAsYOW5BHbDK9TzdPe+7K6GkjfchIvIw8DDA3Lk6JEYo2rAgnQ0L0unpH+L3lS38/kwLc2bF8uFF6eSl6vS7yjtK8pIpyUumb3CIfdVt7KxoITE2gk2LM5mfHh/0DTp8lkxE5HfAWJM/fM0Y87InHzHGsinfRhljngGeAeedyVS3V8EjJtLBhxdl6Jwkyqeiwh2sL0pjfdG417hByWfJxBjzoWl+RB0wcnyBOYB7dpomEckcUczVPM19KaWUmgY79zM5BBSKSK6IRAIPAK+43nsFeMj1/CHAkzsdpZRSPmJV0+B7RKQOWA38VkRedy2fLSJbAYwxg8CXgdeBU8AWY8wJ10c8BtwmIpU4W3s95u9jUEop9QeWtubyN23NpZRSU+dJay47F3MppZQKEJpMlFJKTZsmE6WUUtOmyUQppdS0hVQFvIi0AO9d4+YpwPSm8AtMoXjcoXjMoMcdSqZ6zPOMMakTrRBSyWQ6RKRsstYMwSgUjzsUjxn0uK2Ow598ccxazKWUUmraNJkopZSaNk0mnnvG6gAsEorHHYrHDHrcocTrx6x1JkoppaZN70yUUkpNmyYTpZRS0xaSyURENopIhYhUueaQH/2+iMj3XO8fE5Hlk20rIkki8oaIVLr+zvLX8XjKR8f9zyJy2rX+iyKS6KfD8ZgvjnvE+38tIkZEUnx9HFPhq2MWkT9zvXdCRB73x7FMhY/O8WUisl9EjopImYis9NfxeGqax/1TEWkWkfJR20ztN80YE1IPwAFUA3lAJPAusHDUOpuBbThneywBDky2LfA48Kjr+aPAd6w+Vj8d9+1AuOv5d0LluF3vZ+OcIuE9IMXqY/XD/3Up8DsgyvU6zepj9dNxbwc2jdh+p9XH6q3jdr13M7AcKB+1zZR+00LxzmQlUGWMqTHG9AO/Au4atc5dwC+M034gUZwzOk607V3Az13Pfw7c7ePjmCqfHLcxZrtxzj0DsB/njJh24qv/b4DvAl/lGqaT9jFfHfMXgMeMMX0Axhi7zXDqq+M2wEzX8wT+MOOrXUznuDHG/B5oH+Nzp/SbForJJAuoHfG6zrXMk3Um2jbdGNMA4PprtwmgfXXcI/0pzqsfO/HJcYvIR4F6Y8y73g7YC3z1fz0fuElEDojILhFZ4dWop89Xx/0XwD+LSC3wL8Dfei9kr5jOcU9kSr9poZhMZIxlo68sx1vHk23tyqfHLSJfAwaBZ68pOt/x+nGLSCzwNeAb04zNV3z1fx0OzMJZTPI/gC0iMtb6VvHVcX8B+IoxJhv4CvCTa47QN6Zz3F4TismkDmdZt9scPnjbOt46E23b5L5tdP21WxGAr44bEXkI+AjwSeMqYLURXxx3PpALvCsi51zLj4hIhlcjv3a++r+uA15wFZUcBIZxDhhoF7467oeAF1zPn8NZrGQn0znuiUztN83qyiN/P3BeXdXg/DFwV1YtGrXOHby/surgZNsC/8z7K6set/pY/XTcG4GTQKrVx+jP4x61/TnsVQHvq//rR4C/dz2fj7PYRKw+Xj8c9ylgvev5rcBhq4/VW8c94v0cPlgBP6XfNMv/ISz6x98MnMHZAuJrrmWPAI+4ngvwhOv940DxRNu6licDbwKVrr9JVh+nn467yvWjctT1eNrq4/THcY/6/HPYKJn48P86EvgPoBw4Amyw+jj9dNzrgMM4f6QPADdafZxePu5fAg3AAM47mM+4lk/pN02HU1FKKTVtoVhnopRSyss0mSillJo2TSZKKaWmTZOJUkqpadNkopRSato0mSjlAyKS7Bpl9qiINIpIvet5l4g8aXV8SnmbNg1WysdE5FtAlzHmX6yORSlf0TsTpfxIRNaLyG9cz78lIj8Xke0ick5EPiYij4vIcRF5TUQiXOvd6BpY8bCIvO4e4kIpO9FkopS18nEOdXEXzt7lO4wxS4Ae4A5XQvk+8HFjzI3AT4FvWxWsUuMJtzoApULcNmPMgIgcxznJ0Wuu5cdxjpdUBCwG3nAN0OvAOfSFUraiyUQpa7knmhoWkQHzh0rMYZzfTwFOGGNWWxWgUp7QYi6l7K0CSBWR1QAiEiEiiyyOSakP0GSilI0Z5zSsHwe+IyLv4hyZeY2lQSk1Bm0arJRSatr0zkQppdS0aTJRSik1bZpMlFJKTZsmE6WUUtOmyUQppdS0aTJRSik1bZpMlFJKTdv/B+NTtijhlJ8TAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(8000,)\n",
      "(16000,)\n",
      "(8000,)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# plot the wave versus time\n",
    "plt.plot(t[:80], wave[:80])\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.show()\n",
    "print(wave.shape)\n",
    "\n",
    "# double the duration of the wave\n",
    "wave2 = repeat(wave, 't -> (2 t)')\n",
    "print(wave2.shape)\n",
    "# sample at twice the rate\n",
    "wave2 = reduce(wave2, '(t 2) -> t', 'mean')\n",
    "print(wave2.shape)\n",
    "plt.plot(t[:80], wave2[:80])\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.show()\n",
    "\n",
    "# play the wave\n",
    "from IPython.display import Audio\n",
    "Audio(wave2, rate=sample_rate)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.5 ('base')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "b2e96eb352d8987bf33895f31bd7f6e4767729b89e77a08cae26945db2fb0950"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
